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23813840 = 2451915667
BaseRepresentation
bin101101011010…
…1111011010000
31122210212110002
41122311323100
522044020330
62210225132
7406262051
oct132657320
948725402
1023813840
1112495766
127b851a8
134c1a33b
14323c728
152155e45
hex16b5ed0

23813840 has 40 divisors (see below), whose sum is σ = 58284960. Its totient is φ = 9023616.

The previous prime is 23813837. The next prime is 23813857. The reversal of 23813840 is 4831832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6314 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (1457124).

Almost surely, 223813840 is an apocalyptic number.

23813840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23813840 is an abundant number, since it is smaller than the sum of its proper divisors (34471120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23813840 is a wasteful number, since it uses less digits than its factorization.

23813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15699 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 23813840 is about 4879.9426226135. The cubic root of 23813840 is about 287.7021741150.

The spelling of 23813840 in words is "twenty-three million, eight hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 15667 31334 62668 78335 125336 156670 250672 297673 313340 595346 626680 1190692 1253360 1488365 2381384 2976730 4762768 5953460 11906920 23813840